Holyday greeting !
This is a OpenGL for Happy Holyday
Dance of Sugar Plum faily? , Tchaikovsky 's Nutz cracker suite
Dodecahedron and Icosahedron are Dancing according to key x y x
This Script is written by Nishikawa Toshio for JAPLA 2009 05/DEC/2009
----------------------------------------------------------
run 0 and run 1
and press Key x y z or X Y Z
and please enjoy dancing
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m.shimura /Japan APL Association
jcd02...@nifty.ne.jp
NB. --------------------cut here -------------------------
NB. OpGLN_polyh.ijs
NB. run 0 / run '' => Dodecahedron
NB. run 1 => Icosahedron
NB. rotate => key-in: x y z or X Y Z
require'opengl gl3'
coinsert'jgl3'
A=: 0 : 0
pc a closeok;
xywh 0 0 220 200;cc g isigraph opengl rightmove bottommove;
pas 0 0;
rem form end;
)
run=: a_run
a_run=: 3 : 0
N =: y
if. N = 0
do. Vd =: dodec 0.4
else. Vc =: icosa 0.5
end.
wd A
ogl=: ''conew'jzopengl'
R=: 0 0 0
wd'pshow;'
)
a_close=: 3 : 0
destroy__ogl''
wd'pclose'
)
a_g_paint=: 3 : 0
RC =: rc__ogl ''
if. RC do. g_draw_init wh__ogl end.
g_draw''
show__ogl''
)
a_g_char =: 3 : 0
wd'psel a'
R=: 360 | R + 2 * 'xyz' = {.sysdata
R=: 360 | R - 2 * 'XYZ' = {.sysdata
a_g_paint''
)
g_draw_init=: 3 : 0
glViewport 0 0,y
('arial';30) glaUseFontBitmaps__ogl 32 95 32
glMatrixMode GL_PROJECTION
glLoadIdentity''
glOrtho _1 1 _1 1 _1 1
NB. gluPerspective 30, (%/y),1 10
)
g_draw=: 3 : 0
glClearColor 1 1 1 0
glClear GL_COLOR_BUFFER_BIT + GL_DEPTH_BUFFER_BIT
glEnable GL_DEPTH_TEST
glMatrixMode GL_MODELVIEW
glLoadIdentity''
glColor 0 0 0 0
glRasterPos _0.4 _0.65 0
glaCallLists ' X Y Z'
glRasterPos _0.4 _0.8 0
glaCallLists 5 ": R
glTranslated 0 0 0
glRotated R ,. 3 3 $ 1 0 0 0
NB. glPolygonMode GL_FRONT_AND_BACK, GL_LINE NB. Wired
if. N = 0
do. draw_dodec ''
else. draw_icosa ''
end.
NB. drawbox ''
)
BLUE=: 0 0 1 0
GREEN=: 0 1 0 0
RED=: 1 0 0 0
drawbox=:3 : 0
p=: _1 ^ #: i.8
p=. 0.3*p
BLUE polygon 0 1 3 2{p
GREEN polygon 0 1 5 4{p
RED polygon 0 2 6 4{p
(RED+BLUE) polygon 4 5 7 6{p NB. Violet
(RED+GREEN) polygon 1 3 7 5{p NB. Yellow
(BLUE+GREEN) polygon 2 3 7 6{p NB. Aqua
)
polygon=: 4 : 0
glColor4d 4{.x, 1
glBegin GL_POLYGON
glVertex y
glEnd ''
)
NB. Color Data
COLA=: 1 0 0
COLB=: 0 1 0
COLC=: 0 0 1
COLD=: 1 1 0
COLE=: 0 0.5 1
COLF=: 1 0 1
COLG=: 1 0.5 0
COLH=: 0.5 1 0
COLI=: 1 0 0.5
COLJ=: 0.5 0 1
COLK=: 0 0.5 1
COLL=: 0.5 0.5 0.5
COLM=: 0.7 0 0
COLN=: 0.7 1 0
COLO=: 0.7 0 1
COLP=: 0.7 1 1
COLQ=: 0.3 0.3 0
COLR=: 0.3 0.3 1
COLS=: 0.3 1 0.3
COLT=: 0.3 1 1
NB. Dodecahedron Vertex
draw_dodec=:verb define
COLA polygon 0 1 2 3 4 {Vd NB. あか
COLB polygon 0 5 11 6 1 {Vd NB. みどり
COLC polygon 1 6 12 7 2 {Vd NB. あお
COLD polygon 2 7 13 8 3 {Vd NB. き
COLE polygon 3 8 14 9 4 {Vd NB. みずいろ
COLF polygon 4 9 10 5 0 {Vd NB. むらさき
COLG polygon 19 14 9 10 15 {Vd NB. ちゃいろ
COLH polygon 18 13 8 14 19 {Vd NB. きみどり
COLI polygon 17 12 7 13 18 {Vd NB. あかむらさき
COLJ polygon 16 11 6 12 17 {Vd NB. こいあお
COLK polygon 15 10 5 11 16 {Vd NB. そらいろ
COLL polygon 15 19 18 17 16 {Vd NB. はいいろ
)
NB. Icosahedron Vertex
draw_icosa=:verb define
COLA polygon 0 1 2 {Vc NB. あか
COLB polygon 0 2 3 {Vc NB. みどり
COLC polygon 0 3 4 {Vc NB. あお
COLD polygon 0 4 5 {Vc NB. き
COLE polygon 0 5 1 {Vc NB. みずいろ
COLF polygon 1 2 7 {Vc NB. むらさき
COLG polygon 2 3 8 {Vc NB. ちゃいろ
COLH polygon 3 4 9 {Vc NB. きみどり
COLI polygon 4 5 10 {Vc NB. あかむらさき
COLJ polygon 5 1 6 {Vc NB. こいあお
COLK polygon 1 6 7 {Vc NB. そらいろ
COLL polygon 2 7 8 {Vc NB. はいいろ
COLM polygon 3 8 9 {Vc NB.
COLN polygon 4 9 10 {Vc NB.
COLO polygon 5 10 6 {Vc NB.
COLP polygon 6 7 11 {Vc NB.
COLQ polygon 7 8 11 {Vc NB.
COLR polygon 8 9 11 {Vc NB.
COLS polygon 9 10 11 {Vc NB.
COLT polygon 10 6 11 {Vc NB.
)
NB. polyhedron vertex imported from polyhedron.ijs =====================
NB. polyhedron.ijs
NB. 正12面体と正20面体の頂点座標を求める
NB. 2009/11/2
NB. 2009/11/9 一辺＝2a に変更する
load 'trig'
polyh =: 3 : 0
:
a =. x % 2 NB. 正多面体を構成する正多角形の一辺
'p q' =. y NB. シェフリのパラメータ
delta =. %: 1 - ( ((cos 1p1%p)^2) + (cos 1p1%q)^2 )
NB. R = 正多面体の外接球の半径
R =. a * (sin 1p1 % q) % (delta)
l =. a * (cos 1p1 % p) % (delta)
NB. r = 正多面体の内接球の半径
r =. a * (% tan 1p1 % p) * (cos 1p1 % q) % (delta)
NB. r5 = 正５角形の外接円の半径
r5 =. (a) % sin 1p1 % 5
h5 =. %: (R^2) - (r5^2)
NB. h5=r: 正５角形の板の高さ＝正５角形と重心との距離=正多面体の内接球の半径
R, r, r5
)
NB. 正12面体の頂点座標
dodec =: 3 : 0
a =. y
'R r r5' =. a polyh 5 3
'p q' =. 5, 3
NB. R=正12面体の外接球の半径
NB. r=正12面体の内接球の半径=正５角形の板と重心との距離
NB. r5=正５角形の外接円の半径
TH =. (2p1 % p) * i.5
DA =. (r5 * (cos TH),. (sin TH)),"(1 0) r
'D0 D1 D2 D3 D4' =. DA
D0 =. 0{DA
'D0X D0Y D0Z' =. D0
sin_alph =. (a%2) % R
cos_alph =. %: 1 - sin_alph^2
sin_2alph =. 2 * sin_alph * cos_alph
cos_2alph =. (cos_alph^2) - (sin_alph^2)
D5X =. (D0X*cos_2alph) + (D0Z*sin_2alph)
D5Z =. (-D0X*sin_2alph) + (D0Z*cos_2alph)
D5Y =. D0Y
D5 =. D5X, D5Y, D5Z
DBX =. (D5X * cos TH) - (D5Y * sin TH)
DBY =. (D5X * sin TH) + (D5Y * cos TH)
DB =. (DBX,.DBY),"(1) D5Z
'D5 D6 D7 D8 D9' =. DB
NB. 対蹠点を求めた後、順序を調整する 09/11/11
DC0 =. -|. DB
DC1 =. 1 _1 1*"(1 1) DC0
DC =. 1 |. DC1
'D10 D11 D12 D13 D14' =. DC
DDX =. -|. DA
DDY =. 1 _1 1*"(1 1) DDX
DD =. 1 |. DDY
'D15 D16 D17 D18 D19' =. DD
DA, DB, DC, DD
)
NB. 正20面体の頂点座標
icosa =: 3 : 0
a =. y
'R r r5' =. a polyh 3 5
'p q' =. 3, 5
NB. R=正20面体の外接球の半径
C0 =. 0, 0, R
'C0X C0Y C0Z' =. C0
sin_beta =. (a%2) % R
cos_beta =. %: 1 - sin_beta^2
sin_2beta =. 2 * sin_beta * cos_beta
cos_2beta =. (cos_beta^2) - (sin_beta^2)
C1X =. (C0X*cos_2beta) + (C0Z*sin_2beta)
C1Z =. (-C0X*sin_2beta) + (C0Z*cos_2beta)
C1Y =. C0Y
C1 =. C1X, C1Y, C1Z
TH =. (2p1 % 5) * i.5
CA =. (C1X * (cos TH),. (sin TH)),"(1 0) C1Z
'C1 C2 C3 C4 C5' =. CA
CAXY =. 0 1{"(1) CA
NB. 対蹠点を求めた後、順序を調整する 09/11/11
CB0 =. (_1* CAXY),"(1 0) (-C1Z)
CB =. 2 |. CB0
'C6 C7 C8 C9 C10' =. CB
C11 =. - C0
C0, CA, CB, C11
)
NB. Distance for Check
NB. eg. D1 dist D6 => 5, D6 dist D12 => 5, D6 dist D13 => 5
dist =: 3 : 0
:
'ax ay az' =. x
'bx by bz' =. y
%: (*: ax-bx) + (*: ay-by) + (*: az-bz)
)
NB. ---------------end of File--------------------------------
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